Calculate the Area of a Square: ABCD Vertex Problem

Look at the square below:AAABBBDDDCCC

Which expression represents its area?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Express the area of the square
00:03 Side length according to the given data
00:07 We'll use the formula for calculating the area of a square (side squared)
00:15 We'll substitute appropriate values and solve to find the area
00:23 Make sure to square both numerator and denominator
00:34 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Look at the square below:AAABBBDDDCCC

Which expression represents its area?

2

Step-by-step solution

The area of a square is equal to the measurement of one of its sides squared.

The formula for the area of a square is:

S=a2 S=a^2

Hence let's insert the given data into the formula as follows:

S=102x2=100x2 S=\frac{10^2}{x^2}=\frac{100}{x^2}

3

Final Answer

100x2 \frac{100}{x^2}

Practice Quiz

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Look at the square below:

111111

What is the area of the square?

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